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Finding the Fourth Proportional to 458.83, 633.30 and 262.41

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Solution

The fourth proportional to 458.83, 633.30 and 262.41 is: 362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.83 : 633.30 = 262.41 : x
  2. Step 2: Convert to fraction form
    458.83/633.30 = 262.41/x
  3. Step 3: Cross multiply
    458.83x = 633.30 × 262.41
  4. Step 4: Simplify right side
    458.83x = 166,184.25
  5. Step 5: Solve for x
    x = 166,184.25/458.83
  6. Step 6: Final answer
    x = 362.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.